APGAR Score

based on dodona exercise https://dodona.ugent.be/nl/exercises/668571979/ . In 1952, Dr. Virginia Apgar developed a test that allows a quick initial evaluation of a newborn baby’s general condition.

This test is performed by the obstetrician, gynecologist or pediatrician one minute, five minutes and 10 minutes after birth and provides insight into the baby’s condition on five vital criteria:

code criterium 0 punten 1 punt 2 punten
A Ademhaling geen zwak goed doorhuilen
P Pols- / hartslag 0/min < 100/min 100/min
G Spierspanning / -tonus slap enige flexie van de ledematen actieve beweging van de ledematen
A Aspect / kleur blauw of bleek blauw bij de extremiteiten hele lichaam roze
R Reactie op prikkels geen enige beweging krachtig huilen

Write a program that calculates the APGAR score based on observations for each of the five criteria. Write a program that calculates the APGAR score based on observations for each of the five criteria. The program must immediately sound the alarm if the APGAR score is less than 4.

Input

The input consists of five lines, with each line containing a description for one of the five criteria used to calculate the APGAR score. Each description is formed by a keyword, which corresponds to the green-colored text fragments in the table above. Descriptions that differ from the listed keywords are considered invalid. The pulse and heart rate are described by a natural number.

Output

Write out the APGAR score corresponding to the given observations. If the score is lower than 4, write out not the score itself, but the text alarm. If at least one of the descriptions for the observations is invalid, write out the text ‘ongeldige invoer’.

Example

Input:

goed doorhuilen
0
actieve beweging
blauw
krachtig huilen

Output:

6

Example

Input:

zwak
110
slap
bleek
geen

Output:

alarm

Example

Input:

zwak
99
het valt mee
roze
enige beweging

Output:

ongeldige Input